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11444223432 = 2333753733331
BaseRepresentation
bin10101010100010000…
…01111110111001000
31002112120022210020010
422222020033313020
5141414210122212
65131333231520
7553412202615
oct125210176710
932476283203
1011444223432
114942a694a4
1222747925a0
131104c80c55
147a7ca750c
1546ea8b03c
hex2aa20fdc8

11444223432 has 128 divisors (see below), whose sum is σ = 30357452160. Its totient is φ = 3590645760.

The previous prime is 11444223391. The next prime is 11444223449. The reversal of 11444223432 is 23432244411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11444223432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3434007 + ... + 3437337.

It is an arithmetic number, because the mean of its divisors is an integer number (237167595).

Almost surely, 211444223432 is an apocalyptic number.

11444223432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178726080).

11444223432 is an abundant number, since it is smaller than the sum of its proper divisors (18913228728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11444223432 is a wasteful number, since it uses less digits than its factorization.

11444223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3499 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 11444223432 its reverse (23432244411), we get a palindrome (34876467843).

The spelling of 11444223432 in words is "eleven billion, four hundred forty-four million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 53 73 74 106 111 146 148 159 212 219 222 292 296 318 424 438 444 584 636 876 888 1272 1752 1961 2701 3331 3869 3922 5402 5883 6662 7738 7844 8103 9993 10804 11607 11766 13324 15476 15688 16206 19986 21608 23214 23532 26648 30952 32412 39972 46428 47064 64824 79944 92856 123247 143153 176543 243163 246494 286306 353086 369741 429459 486326 492988 529629 572612 706172 729489 739482 858918 972652 985976 1059258 1145224 1412344 1458978 1478964 1717836 1945304 2118516 2917956 2957928 3435672 4237032 5835912 6532091 8997031 12887639 13064182 17994062 19596273 25775278 26128364 26991093 35988124 38662917 39192546 51550556 52256728 53982186 71976248 77325834 78385092 103101112 107964372 154651668 156770184 215928744 309303336 476842643 953685286 1430527929 1907370572 2861055858 3814741144 5722111716 11444223432